Different research activities are currently carried out at IMATI-CNR involving the exploitation of multi-level parallel systems in complex applications. An overview of issues arising from these activities will be presented referring to the following domains: - biomedical domain: aspects related with the use of multilevel parallel processing are considered with reference to molecular docking and tissues micro array analysis; - hydro-meteo domain: ongoing research activities to deploy on the Grid complex hydro-meteo workflows are shortly illustrated; - mechanical system design: the need of practical multilevel parallelism in the design and simulation of mechanical components are discussed. Current research activities and projects on these topics are described as well.